Finding the Fourth Proportional to 296,643.24, 409,296.78 and 175,763.66
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Solution
The fourth proportional to 296,643.24, 409,296.78 and 175,763.66 is: 242,511.84
Step by Step Solution
- Step 1: Write the proportion equation
296,643.24 : 409,296.78 = 175,763.66 : x - Step 2: Convert to fraction form
296,643.24/409,296.78 = 175,763.66/x - Step 3: Cross multiply
296,643.24x = 409,296.78 × 175,763.66 - Step 4: Simplify right side
296,643.24x = 71,939,498,032.53 - Step 5: Solve for x
x = 71,939,498,032.53/296,643.24 - Step 6: Final answer
x = 242,511.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.